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The Shepherd family spends 1/3 of their budget on groceries and another 1/2 going out to eat. Altogether, what fraction of their budget does the Shepherd family spend on food?Write your answer as a fraction or as a whole or mixed number.

Question

The Shepherd family spends 1/3 of their budget on groceries and another 1/2 going out to eat. Altogether, what fraction of their budget does the Shepherd family spend on food?Write your answer as a fraction or as a whole or mixed number.

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Solution

The Shepherd family spends 1/3 of their budget on groceries and 1/2 on eating out. To find the total fraction of their budget spent on food, you simply add these two fractions together.

Step 1: Find a common denominator. The common denominator of 3 and 2 is 6.

Step 2: Convert each fraction to have the common denominator.

1/3 becomes 2/6 (because 12/32 = 2/6) 1/2 becomes 3/6 (because 13/23 = 3/6)

Step 3: Add the two fractions together.

2/6 + 3/6 = 5/6

So, the Shepherd family spends 5/6 of their budget on food.

This problem has been solved

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